@article {HeltaiBangerthKronbichler-2021,
	title = {Propagating geometry information to finite element computations},
	journal = {Transactions on Mathematical Software},
	volume = {47},
	year = {2021},
	pages = {1--30},
	chapter = {1},
	doi = {https://dx.doi.org/10.1145/3468428},
	author = {Luca Heltai and Wolfgang Bangerth and Martin Kronbichler and Andrea Mola}
}
@article {HL2020,
	title = {A priori error estimates of regularized elliptic problems},
	journal = {Numerische Mathematik},
	volume = {146},
	number = {3},
	year = {2020},
	pages = {571{\textendash}596},
	abstract = {Approximations of the Dirac delta distribution are commonly used to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution. In this work we show a-priori rates of convergence of this approximation process in standard Sobolev norms, with minimal regularity assumptions on the approximation of the Dirac delta distribution. The application of these estimates to the numerical solution of elliptic problems with singularly supported forcing terms allows us to provide sharp \$\$H\^1\$\$and \$\$L\^2\$\$error estimates for the corresponding regularized problem. As an application, we show how finite element approximations of a regularized immersed interface method results in the same rates of convergence of its non-regularized counterpart, provided that the support of the Dirac delta approximation is set to a multiple of the mesh size, at a fraction of the implementation complexity. Numerical experiments are provided to support our theories.},
	isbn = {0945-3245},
	doi = {10.1007/s00211-020-01152-w},
	url = {https://doi.org/10.1007/s00211-020-01152-w},
	author = {Luca Heltai and Wenyu Lei}
}
@article {2020,
	title = {A priori error estimates of regularized elliptic problems},
	journal = {Numerische Mathematik},
	year = {2020},
	author = {Luca Heltai and Wenyu Lei}
}
@article {20.500.11767_81735,
	title = {Predicting and Optimizing Microswimmer Performance from the Hydrodynamics of Its Components: The Relevance of Interactions},
	journal = {SOFT ROBOTICS},
	volume = {5},
	year = {2018},
	pages = {410{\textendash}424},
	doi = {10.1089/soro.2017.0099},
	url = {https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6094362/},
	author = {Nicola Giuliani and Luca Heltai and Antonio DeSimone}
}
@conference {mola2014ship,
	title = {Potential Model for Ship Hydrodynamics Simulations Directly Interfaced with CAD Data Structures},
	booktitle = {The 24th International Ocean and Polar Engineering Conference},
	volume = {4},
	year = {2014},
	pages = {815{\textendash}822},
	publisher = {International Society of Offshore and Polar Engineers},
	organization = {International Society of Offshore and Polar Engineers},
	author = {Andrea Mola and Luca Heltai and Antonio DeSimone and Massimiliano Berti}
}
